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受欢迎的代数 >

C=1600-10x+0.25x^2

解答

C = 1600 - 10 x + 0.25 x^{2}

解答

x = 2 (C - 1500 + 10), x = 2 (- C - 1500 + 10)

求解步骤

C = 1600 - 10 x + 0.25 x^{2}

在两边乘以

100

C \cdot 100 = 160000 - 1000 x + 25 x^{2}

交换两边

160000 - 1000 x + 25 x^{2} = C \cdot 100

将

C 100

para o lado esquerdo

160000 - 1000 x + 25 x^{2} - C \cdot 100 = 0

改写成标准形式

a x^{2} + b x + c = 0

25 x^{2} - 1000 x + 160000 - C \cdot 100 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1000 ) \pm ( - 1000 ) ^{2} - 4 \cdot 25 ( 160000 - C \cdot 100 )}{2 \cdot 25}

化简

(- 1000)^{2} - 4 \cdot 25 (160000 - C \cdot 100) : 100 C - 1500

x_{1, 2} = \frac{- ( - 1000 ) \pm 100 C - 1500}{2 \cdot 25}

将解分隔开

x_{1} = \frac{- ( - 1000 ) + 100 C - 1500}{2 \cdot 25}, x_{2} = \frac{- ( - 1000 ) - 100 C - 1500}{2 \cdot 25}

x = \frac{- ( - 1000 ) + 100 C - 1500}{2 \cdot 25} : 2 (C - 1500 + 10)

x = \frac{- ( - 1000 ) - 100 C - 1500}{2 \cdot 25} : 2 (- C - 1500 + 10)

二次方程组的解是:

x = 2 (C - 1500 + 10), x = 2 (- C - 1500 + 10)

作图

流行的例子

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(\frac{3 x + 2}{4})^{2} = 12

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9=0.0002x^2-0.316x+127.9

9 = 0.0002 x^{2} - 0.316 x + 127.9